102235201272 has 128 divisors (see below), whose sum is σ = 295077600000. Its totient is φ = 32757879168.

The previous prime is 102235201267. The next prime is 102235201291. The reversal of 102235201272 is 272102532201.

102235201272 is a `hidden beast` number, since 10 + 2 + 2 + 3 + 520 + 127 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385979 + ... + 1457877.

It is an arithmetic number, because the mean of its divisors is an integer number (2305293750).

Almost surely, 2^102235201272 is an apocalyptic number.

102235201272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102235201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147538800000).

102235201272 is an abundant number, since it is smaller than the sum of its proper divisors (192842398728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102235201272 is a wasteful number, since it uses less digits than its factorization.

102235201272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72170 (or 72160 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 102235201272 its reverse (272102532201), we get a palindrome (374337733473).

The spelling of 102235201272 in words is "one hundred two billion, two hundred thirty-five million, two hundred one thousand, two hundred seventy-two".